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145,200

145,200 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

145,200 (one hundred forty-five thousand two hundred) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁴ × 3 × 5² × 11². Its proper divisors sum to 366,052, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x23730.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
2,541
Recamán's sequence
a(218,016) = 145,200
Square (n²)
21,083,040,000
Cube (n³)
3,061,257,408,000,000
Divisor count
90
σ(n) — sum of divisors
511,252
φ(n) — Euler's totient
35,200
Sum of prime factors
43

Primality

Prime factorization: 2 4 × 3 × 5 2 × 11 2

Nearest primes: 145,193 (−7) · 145,207 (+7)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 16 · 20 · 22 · 24 · 25 · 30 · 33 · 40 · 44 · 48 · 50 · 55 · 60 · 66 · 75 · 80 · 88 · 100 · 110 · 120 · 121 · 132 · 150 · 165 · 176 · 200 · 220 · 240 · 242 · 264 · 275 · 300 · 330 · 363 · 400 · 440 · 484 · 528 · 550 · 600 · 605 · 660 · 726 · 825 · 880 · 968 · 1100 · 1200 · 1210 · 1320 · 1452 · 1650 · 1815 · 1936 · 2200 · 2420 · 2640 · 2904 · 3025 · 3300 · 3630 · 4400 · 4840 · 5808 · 6050 · 6600 · 7260 · 9075 · 9680 · 12100 · 13200 · 14520 · 18150 · 24200 · 29040 · 36300 · 48400 · 72600 (half) · 145200
Aliquot sum (sum of proper divisors): 366,052
Factor pairs (a × b = 145,200)
1 × 145200
2 × 72600
3 × 48400
4 × 36300
5 × 29040
6 × 24200
8 × 18150
10 × 14520
11 × 13200
12 × 12100
15 × 9680
16 × 9075
20 × 7260
22 × 6600
24 × 6050
25 × 5808
30 × 4840
33 × 4400
40 × 3630
44 × 3300
48 × 3025
50 × 2904
55 × 2640
60 × 2420
66 × 2200
75 × 1936
80 × 1815
88 × 1650
100 × 1452
110 × 1320
120 × 1210
121 × 1200
132 × 1100
150 × 968
165 × 880
176 × 825
200 × 726
220 × 660
240 × 605
242 × 600
264 × 550
275 × 528
300 × 484
330 × 440
363 × 400
First multiples
145,200 · 290,400 (double) · 435,600 · 580,800 · 726,000 · 871,200 · 1,016,400 · 1,161,600 · 1,306,800 · 1,452,000

Sums & aliquot sequence

As consecutive integers: 48,399 + 48,400 + 48,401 29,038 + 29,039 + 29,040 + 29,041 + 29,042 13,195 + 13,196 + … + 13,205 9,673 + 9,674 + … + 9,687
Aliquot sequence: 145,200 366,052 274,546 137,276 102,964 77,230 61,802 38,074 19,040 35,392 45,888 76,032 169,248 296,448 497,400 1,046,400 2,431,800 — unresolved within range

Continued fraction of √n

√145,200 = [381; (19, 1, 1, 5, 1, 3, 1, 1, 1, 29, 1, 5, 3, 47, 3, 5, 1, 29, 1, 1, 1, 3, 1, 5, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred forty-five thousand two hundred
Ordinal
145200th
Binary
100011011100110000
Octal
433460
Hexadecimal
0x23730
Base64
Ajcw
One's complement
4,294,822,095 (32-bit)
Scientific notation
1.452 × 10⁵
As a duration
145,200 s = 1 day, 16 hours, 20 minutes
In other bases
ternary (3) 21101011210
quaternary (4) 203130300
quinary (5) 14121300
senary (6) 3040120
septenary (7) 1143216
nonary (9) 241153
undecimal (11) 9a100
duodecimal (12) 70040
tridecimal (13) 51123
tetradecimal (14) 3acb6
pentadecimal (15) 2d050

As an angle

145,200° = 403 × 360° + 120°
120° ≈ 2.094 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋 𒌋𒌋 ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢
Greek (Milesian)
͵ρμεσʹ
Mayan (base 20)
𝋲·𝋣·𝋠·𝋠
Chinese
一十四萬五千二百
Chinese (financial)
壹拾肆萬伍仟貳佰
In other modern scripts
Eastern Arabic ١٤٥٢٠٠ Devanagari १४५२०० Bengali ১৪৫২০০ Tamil ௧௪௫௨௦௦ Thai ๑๔๕๒๐๐ Tibetan ༡༤༥༢༠༠ Khmer ១៤៥២០០ Lao ໑໔໕໒໐໐ Burmese ၁၄၅၂၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 145200, here are decompositions:

  • 7 + 145193 = 145200
  • 23 + 145177 = 145200
  • 61 + 145139 = 145200
  • 67 + 145133 = 145200
  • 79 + 145121 = 145200
  • 109 + 145091 = 145200
  • 131 + 145069 = 145200
  • 137 + 145063 = 145200

Showing the first eight; more decompositions exist.

Unicode codepoint
𣜰
CJK Unified Ideograph-23730
U+23730
Other letter (Lo)

UTF-8 encoding: F0 A3 9C B0 (4 bytes).

Hex color
#023730
RGB(2, 55, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.55.48.

Address
0.2.55.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.55.48

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 145,200 and was likely granted around 1873.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.